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47506565040 = 243511231113467
BaseRepresentation
bin101100001111100111…
…001010011110110000
311112121210222112212220
4230033213022132300
51234243140040130
633454010321040
73301154066034
oct541747123660
9145553875786
1047506565040
1119169243500
129259a29180
1346312cb81c
14242950c1c4
151380a14410
hexb0f9ca7b0

47506565040 has 480 divisors, whose sum is σ = 168937187328. Its totient is φ = 11022950400.

The previous prime is 47506565033. The next prime is 47506565047. The reversal of 47506565040 is 4056560574.

It is an interprime number because it is at equal distance from previous prime (47506565033) and next prime (47506565047).

It is a junction number, because it is equal to n+sod(n) for n = 47506564983 and 47506565001.

It is not an unprimeable number, because it can be changed into a prime (47506565047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101726887 + ... + 101727353.

Almost surely, 247506565040 is an apocalyptic number.

47506565040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47506565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84468593664).

47506565040 is an abundant number, since it is smaller than the sum of its proper divisors (121430622288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47506565040 is a wasteful number, since it uses less digits than its factorization.

47506565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 47506565040 in words is "forty-seven billion, five hundred six million, five hundred sixty-five thousand, forty".